You are some several decades in the past. The fact that everyone on Earth is
not in the same reference frame affects your everyday life nowadays, because it affects Atomic Time and that in turn affects everything that is based upon Atomic Time.
Since the 1970s, TAI construction has had to compensate for the differences between the physical locations of the atomic clocks in laboratories around the world and an ideal surface of equal gravitational potential around the world.
Nowadays, BIPM and other laboratories routinely talk about general relativistic corrections across the width of the measuring devices. To quote Appendix 2 of the SI Brochure:
> In 2013, the best of these primary standards produces the SI second with a relative standard uncertainty of some parts in 10^16. Note that at such a level of accuracy the effect of the non-uniformity of the gravitational field over the size of the device cannot be ignored. The standard should then be considered in the framework of general relativity in order to provide the proper time at a specified point, for instance a connector.
-- https://www.bipm.org/en/publications/si-brochure/